Ratio + direct relationship - practice problems - page 11 of 18
Number of problems found: 358
- Distance 4869
Two places have a distance of 4 cm on a map with a scale of 1:75 000. What is their distance on a 1:50,000 scale map? - Angles ratio
The internal angles of a triangle are in ratio 1:4:5. What kind of triangle is it? (solve interior angles and write down and discuss) - Tree shadow
The shadow of the tree is 16 meters long. The shadow of a two-meter-high tourist sign beside standing is 3.2 meters long. What height has a tree (in meters)? - Sun rays
If the sun's rays are at an angle of 60°, then the famous Great Pyramid of Egypt (which is now 137.3 meters high) has a 79.3 m long shadow. Calculate the current height of the neighboring Chephren pyramid, whose shadow is measured at the same time at 78.8
- Rectangular 4780
The plan of the television studio is made on a scale of 1:150. The plan has a rectangular studio measuring 5 cm and 6 cm. How many crowns will we pay to cover the studio with a floating floor if we pay 356 crowns for 1 m² of floating floor? - Map scale
What is the map's scale if 5.4 km is 72 mm on the map? - Diamond 4695
The handle is made of alloy. The alloy is in a ratio of 6 parts gold, three parts lead, and eight parts diamond. The handle weighs 24 kg. How much weight are gold and lead? - Three workers
Three workers got paid for work. First earn € 50, the second € 100 and the third € 60. For further work, we should receive € 735 together. How do you divide that amount to be distributed in the same proportion as the first job? - Candies
There are red, blue and green candies in bad. Red to green is in the 6:11 ratio, and blue to red is in the 7:5 ratio. In what proportion are blue to green candies?
- Five-crowns 4655
Martin has metal coins saved up in the cash box. Crowns, two-crowns, and five-crowns. The ratio of crowns to five-crowns is 7:4, and five-crowns to two-crowns is 2:9. What is the ratio of crowns and double crowns? - Tree shadow
The tree perpendicular to the horizontal surface has a shadow 8.32 meters long. At the same time, a one-meter rod perpendicular to the horizontal surface has a shadow 64 cm long. How tall is the tree? - Purchased 4522
Ten friends decided to go hiking. They bought food supplies for 9 days. Before starting hiking, 4 boys fell ill. How many days can the boys extend their stay if they take the purchased food supply? - Rectangle 3-4-5
The sides of the rectangle are in a ratio of 3:4. The length of its diagonal is 20 cm. Calculate the area of the rectangle. - Dimensions 4516
The course is 80m long and 35m wide. What will be its dimensions on a 1:500 map?
- Hours 4443
Lada drove 27 km in 3 hours. How many km will he go in 7 hours? - What scale
What scale is the map drawn if it shows a 15km route from the station to the ruins with a line 30cm long? A) 1: 2000 B) 1: 5000 C) 1: 20,000 D) 1: 50,000 - Rhombus and diagonals
The rhombus area is 150 cm2, and the ratio of the diagonals is 3:4. Calculate the length of its height. - Tower model
The tower's height is 300 meters, and its weight is 8000 tons. How high is the model of the tower's weight of 1 kg? (State the result in centimeters). The model is made from exactly the same material as the original no numbers need to be rounded. A result - Cube
One cube has an edge increased five times. How many times will larger its surface area and volume?
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